Rekenen met wortels (reeks 5)

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Maak de noemer wortelvrij

1. \(\frac{25}{\sqrt{2}}\)
2. \(\frac{8}{\sqrt{13}}\)
3. \(\frac{15}{\sqrt{15}}\)
4. \(\frac{5}{\sqrt{19}}\)
5. \(\frac{54}{\sqrt{19}}\)
6. \(\frac{50}{\sqrt{7}}\)
7. \(\frac{59}{\sqrt{8}}\)
8. \(\frac{37}{\sqrt{5}}\)
9. \(\frac{22}{\sqrt{14}}\)
10. \(\frac{14}{\sqrt{17}}\)
11. \(\frac{59}{\sqrt{5}}\)
12. \(\frac{14}{\sqrt{13}}\)

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Maak de noemer wortelvrij

Verbetersleutel

1. \(\frac{25}{\sqrt{2}}=\frac{25\cdot \color{red}{\sqrt{2}} }{\sqrt{2}\cdot \color{red}{\sqrt{2}} }=\frac{25\cdot\sqrt{2}}{2}\)
2. \(\frac{8}{\sqrt{13}}=\frac{8\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{8\cdot\sqrt{13}}{13}\)
3. \(\frac{15}{\sqrt{15}}=\frac{15\cdot \color{red}{\sqrt{15}} }{\sqrt{15}\cdot \color{red}{\sqrt{15}} }=\frac{15\cdot\sqrt{15}}{15}=\frac{\sqrt{15}}{1}\)
4. \(\frac{5}{\sqrt{19}}=\frac{5\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{5\cdot\sqrt{19}}{19}\)
5. \(\frac{54}{\sqrt{19}}=\frac{54\cdot \color{red}{\sqrt{19}} }{\sqrt{19}\cdot \color{red}{\sqrt{19}} }=\frac{54\cdot\sqrt{19}}{19}\)
6. \(\frac{50}{\sqrt{7}}=\frac{50\cdot \color{red}{\sqrt{7}} }{\sqrt{7}\cdot \color{red}{\sqrt{7}} }=\frac{50\cdot\sqrt{7}}{7}\)
7. \(\frac{59}{\sqrt{8}}=\frac{59\cdot \color{red}{\sqrt{8}} }{\sqrt{8}\cdot \color{red}{\sqrt{8}} }=\frac{59\cdot\sqrt{8}}{8}\)
8. \(\frac{37}{\sqrt{5}}=\frac{37\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{37\cdot\sqrt{5}}{5}\)
9. \(\frac{22}{\sqrt{14}}=\frac{22\cdot \color{red}{\sqrt{14}} }{\sqrt{14}\cdot \color{red}{\sqrt{14}} }=\frac{22\cdot\sqrt{14}}{14}=\frac{11\cdot\sqrt{14}}{7}\)
10. \(\frac{14}{\sqrt{17}}=\frac{14\cdot \color{red}{\sqrt{17}} }{\sqrt{17}\cdot \color{red}{\sqrt{17}} }=\frac{14\cdot\sqrt{17}}{17}\)
11. \(\frac{59}{\sqrt{5}}=\frac{59\cdot \color{red}{\sqrt{5}} }{\sqrt{5}\cdot \color{red}{\sqrt{5}} }=\frac{59\cdot\sqrt{5}}{5}\)
12. \(\frac{14}{\sqrt{13}}=\frac{14\cdot \color{red}{\sqrt{13}} }{\sqrt{13}\cdot \color{red}{\sqrt{13}} }=\frac{14\cdot\sqrt{13}}{13}\)